Book, Paragraph

 1      I,  4 |          within a single identical genus the contrary of a given
 2      I,  6 |          be the primary law of the genus constituting the subject
 3      I,  6 |            attributes within every genus which are essential and
 4      I,  7 |        demonstrating pass from one genus to another. We cannot, for
 5      I,  7 |          inhering essentially in a genus; (2) the axioms, i.e. axioms
 6      I,  7 |         one sphere to another, the genus must be either absolutely
 7      I,  7 |        must be drawn from the same genus: otherwise, as predicated,
 8      I,  7 |           truths of their peculiar genus: it cannot show, for example,
 9      I,  7 |           virtue of their peculiar genus, but through some property
10      I,  9 |         been applicable to another genus.~Our knowledge of any attribute’
11      I,  9 |           science (for the subject genus is separate), but the reasoned
12      I,  9 |            transferable to another genus, with such exceptions as
13      I,  10|          the basic truths of every genus those clements in it the
14      I,  10|            as they fall within the genus constituting the province
15      I,  10|       required as falls within the genus in question: for a truth
16      I,  10|       which it posits, the subject genus whose essential attributes
17      I,  10|         posit the existence of the genus if its existence were obvious (
18      I,  11|          that is, of the genus-the genus, I mean (as I have already
19      I,  11|         being confined to a single genus. Otherwise its method would
20      I,  15|            or both A and B, have a genus, their disconnexion cannot
21      I,  15|        primary. Thus: let C be the genus of A. Then, if C is not
22      I,  15|           A. Then, if C is not the genus of B-for A may well have
23      I,  15|            B-for A may well have a genus which is not the genus of
24      I,  15|           a genus which is not the genus of B-there will be a syllogism
25      I,  15|          Or if it is B which has a genus D, we have~all B is D,~no
26      I,  15|     similar if both A and B have a genus. That the genus of A need
27      I,  15|           B have a genus. That the genus of A need not be the genus
28      I,  15|         genus of A need not be the genus of B and vice versa, is
29      I,  15|           the former series-is the genus of A, clearly G will not
30      I,  15|          clearly G will not be the genus of B; since, if it were,
31      I,  15|      exclusive. So also if B has a genus, it will not be the genus
32      I,  15|          genus, it will not be the genus of A. If, on the other hand,
33      I,  15|        hand, neither A nor B has a genus and A does not inhere in
34      I,  15|            them is bound to have a genus, for the syllogism will
35      I,  16| disconnected from B, cannot have a genus, and A need not necessarily
36      I,  16|       major A-C since, B having no genus, the premiss C-B will always
37      I,  18|          only because each subject genus possesses, in virtue of
38      I,  22|            i.e. B would become the genus or differentia of A-the
39      I,  22|          be predicated each as the genus of the other; for this would
40      I,  22|            for this would equate a genus with one of its own species.
41      I,  23|         must be within one subject genus and be derived from the
42      I,  23|         proof cannot pass from one genus to another.~It is also clear
43      I,  28|           whose domain is a single genus, viz. all the subjects constituted
44      I,  28|            they must be within one genus with its conclusions: and
45      I,  32|           knowledge are within one genus, special premisses are required
46     II,  5 |            and if, postulating the genus, we produce by division
47     II,  7 |          and, since being is not a genus, it is not the essence of
48     II,  13|          it but not wider than its genus (by attributes of wider
49     II,  13|         does not extend beyond the genus of triad; for pentad is
50     II,  13|           be related to triad as a genus named or nameless. It will
51     II,  13|       extent is the character of a genus. If on the other hand this
52     II,  13|            whole should divide the genus into its first infimae species-number
53     II,  13|          is to which the subaltern genus belongs-quantity or quality,
54     II,  13|       nature. Thus, if the primary genus is assumed and we then take
55     II,  13|        like is true of every other genus, whether outside animal
56     II,  13|      outside animal or a subaltern genus of animal; e.g. the primary
57     II,  13|          the two sides exhaust the genus, and that the subject one
58     II,  13|          the division exhausts the genus is not illegitimate if the
59     II,  13|            the differentia of that genus, anything contained in the
60     II,  13|          anything contained in the genus must lie on one of the two
61     II,  13|          because one can establish genus and differentia through
62     II,  13|           through the topic of the genus, just as one can conclude
63     II,  13|        omission would have to be a genus or a differentia. Now the
64     II,  13|          Now the primary term is a genus, and this term taken in
65     II,  13|         with its differentiae is a genus: moreover the differentiae
66     II,  14|          in laying down the common genus of all our subjects of investigation-if
67     II,  15|         one class are identical in genus, namely all those whose
68     II,  19|       animal is a step towards the genus animal, which by the same